Constant non-Riemannian backgrounds were shown in [1]} to admit infinite-dimensional isometries. All of them might be realised as the asymptotic symmetries of the non-Riemannian spheres with large radius (as \({F^{\prime }\rightarrow 0}\) ). The associated, infinitely many, conserved charges then might store all the information of the in-going and freezing null radial geodesics. We call for further studies.
